Question

What are the first two steps to graph y=4/5x + 3?

Answer 1

The function y=4/5x + 3 represents a linear equation.

Let's find some points.

Where x=1, then:

`y=(4)/(5)x+3`
`y=(4)/(5)(1)+3`
`y=(19)/(5)`

We find the point (1,19/5).

Where 19/5 = 3.8

Now, lest find the x-intercept and y-intercept.

To find the x-intercept, set y=0

`0=(4)/(5)x+3`

Solve for x:

`-3=(4)/(5)x`
`5\cdot-3=4x`
`-15=4x`

where

`x=-(15)/(4)=-3.75`

So, the x-intercept is the point (-15/4, 0)

To find the y-intercept, set x=0. Then:

`y=(4)/(5)x+3`
`y=(4)/(5)(0)+3`
`y=3`

So, the y-intercept is the point (0,3)

Use this information to graph the line.

Hence, the graph for y=4/5x + 3 is given by: